SOLUTION: Jimmy charged $39.95 for bottle of red wine and $30.49 for a bottle of white wine.Jimmy made $1456.10 for selling 40 bottles of wine. How many bottles of each type were sold?

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Question 968018: Jimmy charged $39.95 for bottle of red wine and $30.49 for a bottle of white wine.Jimmy made $1456.10 for selling 40 bottles of wine. How many bottles of each type were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of bottles of red wine sold
Let +b+ = number of bottles of white wine sold
-----------------
(1) +a+%2B+b+=+40+
(2) +39.95a+%2B+30.49b+=+1456.1+
--------------------------------
Multiply both sides of (1) by +30.49+
and subtract (1) from (2)
(2) +39.95a+%2B+30.49b+=+1456.1+
(1) +-30.49a+-+30.49b+=+-1219.6+
---------------------------------
+9.46a+=+236.5+
+a+=+25+
and
(1) +a+%2B+b+=+40+
(1) +b+=+15+
25 bottles of red and 15 bottles of white were sold